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High Energy Physics - Theory, hep-th
Abstract:
From a study of an oscillator in a $4D$ NC spacetime, we establish the
Hamilton equations of motion. The formers are solved to give the oscillator
position and momentum coordinates. These coordinates are used to build a metric
similar to that describing a cosmic string. On this basis, Dirac and
Klein-Gordon oscillators are investigated. Their spectrum and dynamics are
analysed giving rise to novel interesting properties.